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555056111104 = 2911313499631
BaseRepresentation
bin10000001001110111110…
…11000001111000000000
31222001200210222221101121
420010323323001320000
533043223331023404
61102553402442024
755046544045655
oct10047373017000
91861623887347
10555056111104
111a4441782670
128b6a7203314
1340459564201
141cc1725dc2c
15e689314e54
hex813bec1e00

555056111104 has 160 divisors (see below), whose sum is σ = 1218073824000. Its totient is φ = 250590412800.

The previous prime is 555056111101. The next prime is 555056111119. The reversal of 555056111104 is 401111650555.

It is a super-3 number, since 3×5550561111043 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 555056111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555056111101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879644869 + ... + 879645499.

It is an arithmetic number, because the mean of its divisors is an integer number (7612961400).

Almost surely, 2555056111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555056111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609036912000).

555056111104 is an abundant number, since it is smaller than the sum of its proper divisors (663017712896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

555056111104 is a wasteful number, since it uses less digits than its factorization.

555056111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

Adding to 555056111104 its reverse (401111650555), we get a palindrome (956167761659).

The spelling of 555056111104 in words is "five hundred fifty-five billion, fifty-six million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 313 352 499 512 626 631 704 998 1252 1262 1408 1996 2504 2524 2816 3443 3992 5008 5048 5489 5632 6886 6941 7984 10016 10096 10978 13772 13882 15968 20032 20192 21956 27544 27764 31936 40064 40384 43912 55088 55528 63872 80128 80768 87824 110176 111056 127744 156187 160256 161536 175648 197503 220352 222112 255488 312374 314869 323072 351296 395006 440704 444224 624748 629738 702592 790012 881408 888448 1249496 1259476 1405184 1580024 1718057 1762816 1776896 2172533 2498992 2518952 2810368 3160048 3436114 3463559 3553792 4345066 4997984 5037904 6320096 6872228 6927118 8690132 9995968 10075808 12640192 13744456 13854236 17380264 19991936 20151616 25280384 27488912 27708472 34760528 39983872 40303232 50560768 54977824 55416944 69521056 79967744 80606464 98553997 101121536 109955648 110833888 139042112 161212928 197107994 219911296 221667776 278084224 394215988 439822592 443335552 556168448 788431976 879645184 886671104 1084093967 1112336896 1576863952 1773342208 2168187934 3153727904 4336375868 6307455808 8672751736 12614911616 17345503472 25229823232 34691006944 50459646464 69382013888 138764027776 277528055552 555056111104